A) 36
B) 25
C) 64
D) None of these
Correct Answer: D
Solution :
Given, \[r=0.32,cov(x,y)=8,\,{{\sigma }_{x}}=25\] \[\because \] \[r=\frac{\operatorname{cov}(x,y)}{\sqrt{{{\sigma }_{x}}}\sqrt{{{\sigma }_{y}}}}\] \[\therefore \] \[0.32=\frac{8}{\sqrt{25}\sqrt{{{\sigma }_{y}}}}\] \[\Rightarrow \] \[\sqrt{{{\sigma }_{y}}}=\frac{8}{0.32\times 5}\] \[=\frac{8}{1.6}=5\] \[\Rightarrow \] \[{{\sigma }_{y}}=25\]
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